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Finding the Fourth Proportional to 499.06, 748.77 and 338.26

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Solution

The fourth proportional to 499.06, 748.77 and 338.26 is: 507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.06 : 748.77 = 338.26 : x
  2. Step 2: Convert to fraction form
    499.06/748.77 = 338.26/x
  3. Step 3: Cross multiply
    499.06x = 748.77 × 338.26
  4. Step 4: Simplify right side
    499.06x = 253,278.94
  5. Step 5: Solve for x
    x = 253,278.94/499.06
  6. Step 6: Final answer
    x = 507.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.